Question

11. From a square cardboard of side 21 cm, a circle of maximum area is cut out. Find
the area of the cardboard left.
[Hint. Diameter of circle of maximum area = 21 cm.]​

Answer 1

Step-by-step explanation:

area of square = 21×21 = 441 cm²

diameter of circle with max. area = 21cm

radius = 21÷2 = 10.5 cm

area of circle = πr² = π × 10.5×10.5

= 346.5 cm²

area of cardboard left = 441 - 346.5

= 94.5 cm²

Answer 2

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Step-by-step explanation:

area of square = 21×21 = 441 cm²

diameter of circle with max. area = 21cm

radius = 21÷2 = 10.5 cm

area of circle = πr² = π × 10.5×10.5

= 346.5 cm²

area of cardboard left = 441 - 346.5

= 94.5 cm²

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